Search a number
-
+
3035314334442 = 23131723163610583
BaseRepresentation
bin101100001010110110110…
…101010010101011101010
3101202011200021102100011210
4230022312311102223222
5344212310432200232
610242223144133550
7432202630101255
oct54126665225352
911664607370153
103035314334442
11a702a68a1945
124103207672b6
131902c8c000a0
14a6ca506809c
1553e4ebb55cc
hex2c2b6d52aea

3035314334442 has 128 divisors (see below), whose sum is σ = 7267454078976. Its totient is φ = 835627871232.

The previous prime is 3035314334401. The next prime is 3035314334467. The reversal of 3035314334442 is 2444334135303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3035314334442.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4665883 + ... + 5276465.

It is an arithmetic number, because the mean of its divisors is an integer number (56776984992).

Almost surely, 23035314334442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3035314334442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3633727039488).

3035314334442 is an abundant number, since it is smaller than the sum of its proper divisors (4232139744534).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3035314334442 is a wasteful number, since it uses less digits than its factorization.

3035314334442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610804.

The product of its (nonzero) digits is 622080, while the sum is 39.

Adding to 3035314334442 its reverse (2444334135303), we get a palindrome (5479648469745).

The spelling of 3035314334442 in words is "three trillion, thirty-five billion, three hundred fourteen million, three hundred thirty-four thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 78 102 138 163 221 299 326 391 442 489 598 663 782 897 978 1173 1326 1794 2119 2346 2771 3749 4238 5083 5542 6357 7498 8313 10166 11247 12714 15249 16626 22494 30498 36023 48737 63733 72046 97474 108069 127466 146211 191199 216138 292422 382398 610583 828529 1221166 1657058 1831749 2485587 3663498 4971174 7937579 10379911 14043409 15875158 20759822 23812737 28086818 31139733 42130227 47625474 62279466 84260454 99525029 134938843 182564317 199050058 238737953 269877686 298575087 365128634 404816529 477475906 547692951 597150174 716213859 809633058 1095385902 1293825377 1432427718 1691925493 2289075667 2587650754 3103593389 3383850986 3881476131 4578151334 5075776479 6207186778 6867227001 7762952262 9310780167 10151552958 13734454002 18621560334 21995031409 29757983671 38914286339 43990062818 59515967342 65985094227 77828572678 89273951013 116742859017 131970188454 178547902026 233485718034 505885722407 1011771444814 1517657167221 3035314334442